Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 18 08:00 AM PDT  09:00 AM PDT Learn an intuitive, systematic approach that will maximize your success on Fillintheblank GMAT CR Questions. Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions)
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 06 Feb 2010
Posts: 138
Concentration: Marketing, Leadership
Schools: University of Dhaka  Class of 2010
GPA: 3.63
WE: Business Development (Consumer Products)

In the figure above, the area of square region PRTV is 81, and the rat
[#permalink]
Show Tags
Updated on: 16 Oct 2018, 01:29
Question Stats:
81% (02:14) correct 19% (03:00) wrong based on 209 sessions
HideShow timer Statistics
In the figure above, the area of square region PRTV is 81, and the ratio of the area of square region XSTU to the area of square region PQXW is 1 to 4. What is the length of segment RS? A. 5 B. 5.5 C. 6 D. 6.5 E. 7 Attachment:
Untitled.png [ 7.1 KiB  Viewed 6452 times ]
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Practice Makes a Man Perfect. Practice. Practice. Practice......Perfectly
Critical Reasoning: http://gmatclub.com/forum/bestcriticalreasoningshortcutsnotestips91280.html
Collections of MGMAT CAT: http://gmatclub.com/forum/collectionsofmgmatcatmath152750.html
MGMAT SC SUMMARY: http://gmatclub.com/forum/mgmatscsummaryoffourthedition152753.html
Sentence Correction: http://gmatclub.com/forum/sentencecorrectionstrategiesandnotes91218.html
Arithmatic & Algebra: http://gmatclub.com/forum/arithmaticalgebra93678.html
Helpful Geometry formula sheet: http://gmatclub.com/forum/bestgeometry93676.html
I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.
Originally posted by monirjewel on 09 Nov 2010, 01:08.
Last edited by Bunuel on 16 Oct 2018, 01:29, edited 2 times in total.
Renamed the topic and edited the question.




Math Expert
Joined: 02 Sep 2009
Posts: 58390

Re: In the figure above, the area of square region PRTV is 81, and the rat
[#permalink]
Show Tags
09 Nov 2010, 01:17
In the figure above, the area of square region PRTV is 81, and the ratio of the area of square region XSTU to the area of square region PQXW is 1 to 4. What is the length of segment RS?A. 5 B. 5.5 C. 6 D. 6.5 E. 7 As the area of square region PRTV is 81 then \(RT^2=81\) > \(RT=9\); The area of square region \(PQXW=QX^2=RS^2\) and the area of square region \(XSTU=ST^2=(9RS)^2\); Given: \(\frac{(9RS)^2}{RS^2}=\frac{1}{4}\) > \(\frac{9RS}{RS}=\frac{1}{2}\) > \(RS=6\). Answer: C. Or: as the ratio of the areas of squares is the square of the ratio of their sides then \(\frac{ST}{RS}=\frac{9RS}{RS}=\frac{1}{2}\) > \(RS=6\).
_________________




Manager
Joined: 01 Nov 2010
Posts: 111
Location: Zürich, Switzerland

Re: In the figure above, the area of square region PRTV is 81, and the rat
[#permalink]
Show Tags
09 Nov 2010, 03:22
(ST)^2/(QX)^2 = 1/4 So, QX=RS=2ST since RT=9(total area of PRTV=81), RT= 3ST. So ST=3 and RS=6
Answer: C



Manager
Joined: 20 Apr 2010
Posts: 187
Location: Hyderabad
WE 1: 4.6 years Exp IT prof

Re: In the figure above, the area of square region PRTV is 81, and the rat
[#permalink]
Show Tags
09 Nov 2010, 08:16
answer is 6 If the area is 1:4 than the sides will be 1:2 since the total length is 9 (RS+ST) hence it is (3+6) since RS is the Bigger in length therefore,RS = 6
_________________
I will give a Fight till the End
"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."  Bernard Edmonds
A person who is afraid of Failure can never succeed  Amneet Padda
Don't Forget to give the KUDOS



Manager
Joined: 17 Dec 2010
Posts: 87
Location: Australia
GPA: 3.37
WE: Engineering (Consulting)

Re: In the figure above, the area of square region PRTV is 81, and the rat
[#permalink]
Show Tags
05 Jan 2011, 22:51
I don't agree with the answer "D"  I think it's C PRTV is a square, with area of 81 => RT = 9 RT = RS + ST = 9 RS^2 = 4ST ^ 2 => RS = 2ST =>3ST = 9 => ST = 3 => RS = 6 Answer: C
_________________
Kudos always appreciated if my post helped you



Retired Moderator
Joined: 02 Sep 2010
Posts: 727
Location: London

Re: In the figure above, the area of square region PRTV is 81, and the rat
[#permalink]
Show Tags
06 Jan 2011, 00:33
RT=9 since area of square is 81 Let RS=x and ST=9x Ratio of the area of squares is 1:4 Hence x^2 = 4 (9x)^2 Hence x = 2(9x) 3x = 18 ... x=6 ANswer is (c)
_________________



NonHuman User
Joined: 09 Sep 2013
Posts: 13204

Re: In the figure above, the area of square region PRTV is 81, and the rat
[#permalink]
Show Tags
16 Oct 2018, 01:29
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________




Re: In the figure above, the area of square region PRTV is 81, and the rat
[#permalink]
16 Oct 2018, 01:29






